Math6-8
Solving One-Variable Inequality Word Problems
By Camila V.
A practice set for 8th graders that introduces inequality key words and applies them to real-world word problems involving one-variable inequalities. Students build skills in translating everyday language into symbols, explaining their reasoning in writing, and solving with real-world contexts such as capacity limits, spending budgets, and age requirements.
Customize for your classroom
Teacher Guide & Tips
- Use this as an independent practice or small-group station after a lesson introducing the four inequality symbols, with roughly 30 to 45 minutes of work time.
- Discussion question: Why does "at most" include the boundary value while "less than" does not, and how would a sign reading "Maximum Capacity: 50 people" change if it said "fewer than 50"?
- Scaffold for struggling readers: Have them highlight the key phrase in each problem, then rewrite the sentence with a blank for the inequality symbol before solving.
- Extension for advanced students: Ask them to write their own real-world inequality problem with a solution set graphed on a number line and explain whether the answer is open or closed.
- Estimated time: about 35 minutes for the full set, including the written explanation prompts.
Math6-8
Solving One-Variable Inequality Word Problems
By Camila V.
A practice set for 8th graders that introduces inequality key words and applies them to real-world word problems involving one-variable inequalities. Students build skills in translating everyday language into symbols, explaining their reasoning in writing, and solving with real-world contexts such as capacity limits, spending budgets, and age requirements.
Customize for your classroom
Teacher Guide & Tips
- Use this as an independent practice or small-group station after a lesson introducing the four inequality symbols, with roughly 30 to 45 minutes of work time.
- Discussion question: Why does "at most" include the boundary value while "less than" does not, and how would a sign reading "Maximum Capacity: 50 people" change if it said "fewer than 50"?
- Scaffold for struggling readers: Have them highlight the key phrase in each problem, then rewrite the sentence with a blank for the inequality symbol before solving.
- Extension for advanced students: Ask them to write their own real-world inequality problem with a solution set graphed on a number line and explain whether the answer is open or closed.
- Estimated time: about 35 minutes for the full set, including the written explanation prompts.